Diagonal 1 of Quadrilateral Calculator

✖Side A of Quadrilateral is the measure of the length of the Side A of the Quadrilateral.ⓘ Side A of Quadrilateral [S_a]			+10% -10%
✖Side B of Quadrilateral is the measure of the length of the side B of the Quadrilateral.ⓘ Side B of Quadrilateral [S_b]			+10% -10%
✖Angle B of Quadrilateral is the space between two intersecting lines (side a and side b) or surfaces at or close to the point where they meet.ⓘ Angle B of Quadrilateral [∠B]			+10% -10%

✖A Diagonal 1 of Quadrilateral is a straight line joining two opposite corners of the Quadrilateral.ⓘ Diagonal 1 of Quadrilateral [d₁]

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Formula

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Diagonal 1 of Quadrilateral

Formula

`"d"_{"1"} = sqrt("S"_{"a"}^2+"S"_{"b"}^2-(2*"S"_{"a"}*"S"_{"b"}*cos("∠B")))`

Example

`"10.92869m"=sqrt(("10m")^2+("9m")^2-(2*"10m"*"9m"*cos("70°")))`

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Diagonal 1 of Quadrilateral Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diagonal 1 of Quadrilateral = sqrt(Side A of Quadrilateral^2+Side B of Quadrilateral^2-(2*Side A of Quadrilateral*Side B of Quadrilateral*cos(Angle B of Quadrilateral)))
d₁ = sqrt(S_a^2+S_b^2-(2*S_a*S_b*cos(∠B)))
This formula uses 2 Functions, 4 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Diagonal 1 of Quadrilateral - (Measured in Meter) - A Diagonal 1 of Quadrilateral is a straight line joining two opposite corners of the Quadrilateral.
Side A of Quadrilateral - (Measured in Meter) - Side A of Quadrilateral is the measure of the length of the Side A of the Quadrilateral.
Side B of Quadrilateral - (Measured in Meter) - Side B of Quadrilateral is the measure of the length of the side B of the Quadrilateral.
Angle B of Quadrilateral - (Measured in Radian) - Angle B of Quadrilateral is the space between two intersecting lines (side a and side b) or surfaces at or close to the point where they meet.

STEP 1: Convert Input(s) to Base Unit

Side A of Quadrilateral: 10 Meter --> 10 Meter No Conversion Required
Side B of Quadrilateral: 9 Meter --> 9 Meter No Conversion Required
Angle B of Quadrilateral: 70 Degree --> 1.2217304763958 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d₁ = sqrt(S_a^2+S_b^2-(2*S_a*S_b*cos(∠B))) --> sqrt(10^2+9^2-(2*10*9*cos(1.2217304763958)))

Evaluating ... ...

d₁ = 10.9286949907727

STEP 3: Convert Result to Output's Unit

10.9286949907727 Meter --> No Conversion Required

FINAL ANSWER

10.9286949907727 ≈ 10.92869 Meter <-- Diagonal 1 of Quadrilateral

(Calculation completed in 00.004 seconds)

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Created by Nayana Phulphagar

Institute of Chartered and Financial Analysts of India National college (ICFAI National College), HUBLI

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Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand

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< 3 Diagonals of Quadrilateral Calculators

Diagonal 1 of Quadrilateral

Go Diagonal 1 of Quadrilateral = sqrt(Side A of Quadrilateral^2+Side B of Quadrilateral^2-(2*Side A of Quadrilateral*Side B of Quadrilateral*cos(Angle B of Quadrilateral)))

Diagonal 2 of Quadrilateral

Go Diagonal 2 of Quadrilateral = sqrt(Side B of Quadrilateral^2+Side C of Quadrilateral^2-(2*Side B of Quadrilateral*Side C of Quadrilateral*cos(Angle C of Quadrilateral)))

Diagonal 1 of Quadrilateral given Area and Heights of Columns

Go Diagonal 1 of Quadrilateral = 2*Area of Quadrilateral/(Height of Column 1 of Quadrilateral+Height of Column 2 of Quadrilateral)

Diagonal 1 of Quadrilateral Formula

What is Quadrilateral?

A Quadrilateral is a plane figure that has four sides or edges, and also four corners or vertices. The angles are present at the four vertices or corners of the Quadrilateral. The word ‘Quadrilateral’ is derived from the Latin words ‘quadri,’ which means four, and ‘latus’, which means side.

How to Calculate Diagonal 1 of Quadrilateral?

Diagonal 1 of Quadrilateral calculator uses Diagonal 1 of Quadrilateral = sqrt(Side A of Quadrilateral^2+Side B of Quadrilateral^2-(2*Side A of Quadrilateral*Side B of Quadrilateral*cos(Angle B of Quadrilateral))) to calculate the Diagonal 1 of Quadrilateral, The Diagonal 1 of Quadrilateral formula is defined as the length of the straight line joining opposite vertices ( Angle A and Angle C) of the Quadrilateral. Diagonal 1 of Quadrilateral is denoted by d₁ symbol.

How to calculate Diagonal 1 of Quadrilateral using this online calculator? To use this online calculator for Diagonal 1 of Quadrilateral, enter Side A of Quadrilateral (S_a), Side B of Quadrilateral (S_b) & Angle B of Quadrilateral (∠B) and hit the calculate button. Here is how the Diagonal 1 of Quadrilateral calculation can be explained with given input values -> 10.92869 = sqrt(10^2+9^2-(2*10*9*cos(1.2217304763958))).

FAQ

What is Diagonal 1 of Quadrilateral?

The Diagonal 1 of Quadrilateral formula is defined as the length of the straight line joining opposite vertices ( Angle A and Angle C) of the Quadrilateral and is represented as d₁ = sqrt(S_a^2+S_b^2-(2*S_a*S_b*cos(∠B))) or Diagonal 1 of Quadrilateral = sqrt(Side A of Quadrilateral^2+Side B of Quadrilateral^2-(2*Side A of Quadrilateral*Side B of Quadrilateral*cos(Angle B of Quadrilateral))). Side A of Quadrilateral is the measure of the length of the Side A of the Quadrilateral, Side B of Quadrilateral is the measure of the length of the side B of the Quadrilateral & Angle B of Quadrilateral is the space between two intersecting lines (side a and side b) or surfaces at or close to the point where they meet.

How to calculate Diagonal 1 of Quadrilateral?

The Diagonal 1 of Quadrilateral formula is defined as the length of the straight line joining opposite vertices ( Angle A and Angle C) of the Quadrilateral is calculated using Diagonal 1 of Quadrilateral = sqrt(Side A of Quadrilateral^2+Side B of Quadrilateral^2-(2*Side A of Quadrilateral*Side B of Quadrilateral*cos(Angle B of Quadrilateral))). To calculate Diagonal 1 of Quadrilateral, you need Side A of Quadrilateral (S_a), Side B of Quadrilateral (S_b) & Angle B of Quadrilateral (∠B). With our tool, you need to enter the respective value for Side A of Quadrilateral, Side B of Quadrilateral & Angle B of Quadrilateral and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Diagonal 1 of Quadrilateral?

In this formula, Diagonal 1 of Quadrilateral uses Side A of Quadrilateral, Side B of Quadrilateral & Angle B of Quadrilateral. We can use 1 other way(s) to calculate the same, which is/are as follows -

Diagonal 1 of Quadrilateral = 2*Area of Quadrilateral/(Height of Column 1 of Quadrilateral+Height of Column 2 of Quadrilateral)

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